Geodesic
Boundary layer equations in the problem of axially symmetric jet flow
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Tome 362 (2008), pp. 48-63 
V. S. Belonosov; V. V. Pukhnachov. Boundary layer equations in the problem of axially symmetric jet flow. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 39, Tome 362 (2008), pp. 48-63. http://geodesic.mathdoc.fr/item/ZNSL_2008_362_a2/
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     author = {V. S. Belonosov and V. V. Pukhnachov},
     title = {Boundary layer equations in the problem of axially symmetric jet flow},
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     pages = {48--63},
     year = {2008},
     volume = {362},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_362_a2/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The problem of stationary axially symmetric jet flow of viscous incompressible fluid from a round tube into the free space is considered. Mathematical model of this flow in the Mises variables and for large Reynolds numbers is reduced to the boundary valued problem for degenerative integro-differential equation of the second order. Existence and uniqueness of the bounded solutions to this problem are proved and stabilization as a time-like variable increases is shown. Bibl. – 7 titles.

[1] V. V. Pukhnachev, Dvizhenie vyazkoi zhidkosti so svobodnymi granitsami, Izd-vo NGU, Novosibirsk, 1989 | MR

[2] V. A. Solonnikov, “Probleme de frontiere libre a la sortie d'une tube cylindrique”, Asymptotic Analysis, 17 (1998), 135–163 | MR | Zbl

[3] V. A. Solonnikov, “Stationary free boundary problems for the Navier–Stokes equations”, Pitman research notes, 392 (1998), 147–192 | MR

[4] R. Mises, “Bemerkungen zur Hydrodynamik”, ZAMM, 7 (1927), 425–431 | Zbl

[5] O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Uraltseva, Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[6] V. S. Belonosov, “Otsenki reshenii parabolicheskikh sistem v vesovykh klassakh Geldera i nekotorye ikh prilozheniya”, Mat. sb., 110(152):2 (1979), 163–188 | MR | Zbl

[7] T. I. Zelenyak, “O stabilizatsii reshenii kraevykh zadach dlya parabolicheskogo uravneniya vtorogo poryadka s odnoi prostranstvennoi peremennoi”, Differentsialnye uravneniya, 4:1 (1968), 34–45 | Zbl